Research Article
A New Class of Halley’s Method with Third-Order Convergence for Solving Nonlinear Equations
Table 4
Comparison of methods of various orders in terms of the number of iterations and number of functions evaluations.
| | Testct° | | : number of iterations | : number of functions evaluations | | FG | CC | K | B | H2 | H3 | H4 | H5 | FG | CC | K | B | H2 | H3 | H4 | H5 |
| | 0.5 | 7 | 5 | 3 | 3 | 3 | 3 | 3 | 2 | 28 | 20 | 12 | 12 | 9 | 9 | 9 | 6 | | 25 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 3 | 28 | 12 | 12 | 12 | 9 | 9 | 9 | 9 | | 4.5 | 3 | 3 | 3 | 2 | 3 | 3 | 3 | 3 | 12 | 12 | 12 | 8 | 9 | 9 | 9 | 9 | | 1.34 | 4 | 4 | 3 | 3 | 3 | 3 | 3 | 3 | 16 | 16 | 12 | 12 | 9 | 9 | 9 | 9 | | -1 | 3 | 3 | 3 | 2 | 3 | 3 | 3 | 3 | 12 | 12 | 12 | 8 | 9 | 9 | 9 | 9 | | 1.55 | 8 | 5 | 3 | 3 | 3 | 3 | 3 | 3 | 32 | 20 | 12 | 12 | 9 | 9 | 9 | 9 | | 2.9 | 3 | 3 | 3 | 2 | 4 | 4 | 4 | 5 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 15 | | 1.2 | 6 | 5 | 3 | 3 | 3 | 4 | 3 | 4 | 24 | 20 | 12 | 12 | 9 | 12 | 9 | 12 | | 3.8 | 3 | 3 | 3 | 2 | 4 | 4 | 4 | 4 | 12 | 12 | 12 | 8 | 12 | 12 | 12 | 12 | | 2.55 | 3 | 3 | 3 | 2 | 4 | 4 | 4 | 4 | 12 | 12 | 12 | 8 | 12 | 12 | 12 | 12 | | -0.5 | 5 | 4 | 3 | 3 | 4 | 4 | 3 | 4 | 20 | 16 | 12 | 12 | 12 | 12 | 9 | 12 | | 0 | 3 | 3 | 2 | 2 | 3 | 3 | 3 | 3 | 12 | 12 | 8 | 8 | 9 | 9 | 9 | 9 | | 3.4 | 3 | 3 | 2 | 2 | 4 | 4 | 4 | 4 | 12 | 12 | 8 | 8 | 12 | 12 | 12 | 12 | | 1.3 | 8 | D | 3 | 3 | 4 | 3 | 3 | 3 | 32 | D | 12 | 12 | 12 | 9 | 9 | 9 |
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